Finding the Third Proportional to 90,494 and 194,863

Step by Step Solution

1. Step 1: Write the proportion equation
   90,494 : 194,863 = 194,863 : x
2. Step 2: Convert to fraction form
   90,494/194,863 = 194,863/x
3. Step 3: Cross multiply
   90,494x = 194,863 × 194,863
4. Step 4: Simplify right side
   90,494x = 37,971,588,769
5. Step 5: Solve for x
   x = 37,971,588,769/90,494
6. Step 6: Final answer
   x = 419,603.39